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Simplifying 5x + 13 + -4x = 8 + 4x + -7 Reorder the terms: 13 + 5x + -4x = 8 + 4x + -7 Combine like terms: 5x + -4x = 1x 13 + 1x = 8 + 4x + -7 Reorder the terms: 13 + 1x = 8 + -7 + 4x Combine like terms: 8 + -7 = 1 13 + 1x = 1 + 4x Solving 13 + 1x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + 1x + -4x = 1 + 4x + -4x Combine like terms: 1x + -4x = -3x 13 + -3x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -3x = 1 + 0 13 + -3x = 1 Add '-13' to each side of the equation. 13 + -13 + -3x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 1 + -13 -3x = 1 + -13 Combine like terms: 1 + -13 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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